96612264 has 240 divisors, whose sum is σ = 331927200. Its totient is φ = 25707456.

The previous prime is 96612251. The next prime is 96612289. The reversal of 96612264 is 46221669.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1637467 + ... + 1637525.

It is an arithmetic number, because the mean of its divisors is an integer number (1383030).

Almost surely, 2^96612264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96612264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165963600).

96612264 is an abundant number, since it is smaller than the sum of its proper divisors (235314936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96612264 is a wasteful number, since it uses less digits than its factorization.

96612264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 96612264 is about 9829.1537784287. The cubic root of 96612264 is about 458.8570617331.

The spelling of 96612264 in words is "ninety-six million, six hundred twelve thousand, two hundred sixty-four".